The ratio of the Wheatstone bridge shown in Fig. 6.9 are R₁ = 1000 , R₂ = 100 2. The standard resistance R3 = 400 92. The unknown resistance Rx = 41 2. A 1.5 V battery with negligible internal resistance is connected from the junction of R₁ and R₂ to the junction of R3 and Rx. The galvanometer with an internal resistance of 50 92 and a current sensitivity of 2 mm/uA is connected to the other corner of the bridge. Calculate the deflection of the galvanometer caused by the imbalance in the circuit.
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Explanation:
In a Wheatstone bridge, resistances of ratio arms are
R2 = 1000 Ω, R1 = 100 Ω
Unknown resistance = Rx
Standard resistance = Rs
Given that standard resistance consists of 4 decade resistance boxes of 1000, 100, 10, 1Ω steps.
Maximum value of Rs = 1000 + 100 + 10 + 1 = 1111 Ω
Minimum value of Rs = 1 Ω
Now, Maximum value of Rx = 1000/100 × ( 1111 ) = 11110 Ω
Minimum value of Rx = 1000/100 × ( 1 ) = 10 Ω
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